Global Existence and Large Time Behavior for a Two-Dimensional Chemotaxis-Navier-Stokes System
Seminar | May 11, 2017 | Start from 10: 00 a.m. | No. 330 room in Nanhai Building

Reporter: XIANG Zhao-yin
Sponsor: School of Information Science and Technology

ABOUT XIANG ZHAOYIN
Xiang Zhaoyin is a professor and doctoral supervisor of the School of Mathematical Sciences, University of Electronic Science and Technology of China. He is mainly engaged in the study of partial differential equations. As the person in charge, he obtained the National Natural Science Foundation, the research launching fund for talents back from abroad in Ministry of Education, and the China Postdoctoral Science Foundation. He also was selected in Sichuan Province Outstanding Young Academic and Technical Leaders Program, Sichuan Academic and Technical Leaders, etc., and published more than 40 articles in Ann Scuola Norm Sup Pisa, Int Math Res Not, J Functional Anal, J Differential Eq, Nonlinearity and other academic journals.

ABOUT THE LECTURE
After reviewing some recent progresses on the global well-posedness on the chemotaxis-Navier-Stokes System, I will present a recent work jointed with Dr. Renjun Duan and Dr. Xie Li, in which we established the global existence of weak solutions and classical solutions for both the Cauchy problem and the initial-boundary value problem supplemented with some initial data under some basic assumptions on the parameter functions. These assumptions are consistent with those used by the experimentalists but weaker than those appeared in the known mathematical works.